Search Results - "Derksen, Harm"
-
1
Quivers with potentials and their representations II: Applications to cluster algebras
Published in Journal of the American Mathematical Society (01-07-2010)“…\mathbf{g}, and a family of integer polynomials called…”
Get full text
Journal Article -
2
Lunar Crater Identification in Digital Images
Published in The Journal of the astronautical sciences (2021)“…It is often necessary to identify a pattern of observed craters in a single image of the lunar surface and without any prior knowledge of the camera’s…”
Get full text
Journal Article -
3
Quasirandom groups enjoy interleaved mixing
Published in Discrete analysis (04-09-2023)“…Quasirandom groups enjoy interleaved mixing, Discrete Analysis 2023:14, 4 pp. In 1985 Babai and Sós asked whether there is a constant $c>0$ such that every…”
Get full text
Journal Article -
4
Continuous sepsis trajectory prediction using tensor-reduced physiological signals
Published in Scientific reports (06-08-2024)“…The quick Sequential Organ Failure Assessment (qSOFA) system identifies an individual’s risk to progress to poor sepsis-related outcomes using minimal…”
Get full text
Journal Article -
5
Quadratic Multilinear Discriminant Analysis for Tensorial Data Classification
Published in Algorithms (01-02-2023)“…Over the past decades, there has been an increase of attention to adapting machine learning methods to fully exploit the higher order structure of tensorial…”
Get full text
Journal Article -
6
Robust segmentation of lung in chest x-ray: applications in analysis of acute respiratory distress syndrome
Published in BMC medical imaging (15-10-2020)“…This study outlines an image processing algorithm for accurate and consistent lung segmentation in chest radiographs of critically ill adults and children…”
Get full text
Journal Article -
7
A Signal Processing Approach for Detection of Hemodynamic Instability before Decompensation
Published in PloS one (12-02-2016)“…Advanced hemodynamic monitoring is a critical component of treatment in clinical situations where aggressive yet guided hemodynamic interventions are required…”
Get full text
Journal Article -
8
Learning Using Concave and Convex Kernels: Applications in Predicting Quality of Sleep and Level of Fatigue in Fibromyalgia
Published in Entropy (Basel, Switzerland) (28-04-2019)“…Fibromyalgia is a medical condition characterized by widespread muscle pain and tenderness and is often accompanied by fatigue and alteration in sleep, mood,…”
Get full text
Journal Article -
9
Windowed persistent homology: A topological signal processing algorithm applied to clinical obesity data
Published in PloS one (12-05-2017)“…Overweight and obesity are highly prevalent in the population of the United States, affecting roughly 2/3 of Americans. These diseases, along with their…”
Get full text
Journal Article -
10
A Skolem–Mahler–Lech theorem in positive characteristic and finite automata
Published in Inventiones mathematicae (01-04-2007)Get full text
Journal Article -
11
Polynomial degree bounds for matrix semi-invariants
Published in Advances in mathematics (New York. 1965) (13-04-2017)“…We study the left–right action of SLn×SLn on m-tuples of n×n matrices with entries in an infinite field K. We show that invariants of degree n2−n define the…”
Get full text
Journal Article -
12
On the Nuclear Norm and the Singular Value Decomposition of Tensors
Published in Foundations of computational mathematics (01-06-2016)“…Finding the rank of a tensor is a problem that has many applications. Unfortunately, it is often very difficult to determine the rank of a given tensor…”
Get full text
Journal Article -
13
Semi-Invariants of Quivers and Saturation for Littlewood-Richardson Coefficients
Published in Journal of the American Mathematical Society (13-03-2000)Get full text
Journal Article -
14
Polynomial bounds for rings of invariants
Published in Proceedings of the American Mathematical Society (01-04-2001)“…\textsc{Hilbert} proved that invariant rings are finitely generated for linearly reductive groups acting rationally on a finite dimensional vector space…”
Get full text
Journal Article -
15
Invariant Theory and wheeled PROPs
Published in Journal of pure and applied algebra (01-09-2023)“…We study the category of wheeled PROPs using tools from Invariant Theory. A typical example of a wheeled PROP is the mixed tensor algebra V=T(V)⊗T(V⋆), where…”
Get full text
Journal Article -
16
The Capacity of Quiver Representations and Brascamp–Lieb Constants
Published in International mathematics research notices (17-12-2022)“…Abstract Let $Q$ be a bipartite quiver, $V$ a real representation of $Q$, and $\sigma $ an integral weight of $Q$ orthogonal to the dimension vector of $V$…”
Get full text
Journal Article -
17
General presentations of algebras
Published in Advances in mathematics (New York. 1965) (25-06-2015)“…For any finite dimensional basic associative algebra, we study the presentation spaces and their relation with the representation spaces. We prove two theorems…”
Get full text
Journal Article -
18
Erratum to: The Capacity of Quiver Representations and Brascamp–Lieb Constants
Published in International mathematics research notices (17-12-2022)Get full text
Journal Article -
19
Generating invariant rings of quivers in arbitrary characteristic
Published in Journal of algebra (01-11-2017)“…It is well known that the ring of polynomial invariants of a reductive group is finitely generated. However, it is difficult to give strong upper bounds on the…”
Get full text
Journal Article -
20
Kruskal’s uniqueness inequality is sharp
Published in Linear algebra and its applications (15-01-2013)“…Kruskal proved that a tensor in V1⊗V2⊗⋯⊗Vm of rank r has a unique decomposition as a sum of r pure tensors if a certain inequality is satisfied. We will show…”
Get full text
Journal Article